Philip M. Whitman

Philip Martin Whitman is an American mathematician who contributed to lattice theory, particularly the theory of free lattices.

Philip Martin Whitman
NationalityUnited States
EducationHaverford College
Alma materHarvard University
Known forFree lattice word problem
AwardsAMS Honorary Member
Scientific career
FieldsLattice theory
InstitutionsUPenn,[1] Tufts[2]
ThesisFree Lattices (1941)
Doctoral advisorGarrett Birkhoff

Living in Pittsburgh,[3] he attended the Haverford College, where he earned a corporation scholarship for 1936–37,[4] and a Clementine Cope fellowship for 1937–38,[5] and was awarded highest honors in mathematical astronomy in 1937.[6] He was elected to the college's chapter of the Phi Beta Kappa Society.[7] In June 1937, he was conferred the Bachelor of science degree from Haverford.[8] According to Garrett Birkhoff, Whitman was an undergraduate Harvard student in 1937,[9] and an outstanding graduate student not later than 1940, one of the first who taught elementary courses to freshmen in the mathematics department.[10] In 1938 he earned his AM,[11] and in June 1941 he obtained his Ph.D. degree from Harvard University.[12] He was a member of the AMS not later than 1947,[13] and was awarded an AMS honorary membership not later than 1995.[14]

Selected publications
  • Whitman, Philip Martin (Jun 1940). Schrödinger Wave Mechanics of the Hydrogen Atom (Manuscript minor thesis in mathematics). Harvard students' essays. Harvard University.
  • Whitman, Philip Martin (1941). Free lattices (Ph.D. thesis). Harvard University.
  • Philip Whitman (1941). "Free Lattices". Annals of Mathematics. 42: 325–329. doi:10.2307/1969001.
  • Philip Whitman (1942). "Free Lattices II". Annals of Mathematics. 43: 104–115. doi:10.2307/1968883.
  • Phillip M. Whitman (1943). "Splittings of a lattice". American Journal of Mathematics. 65: 179–196. doi:10.2307/2371781.
  • Philip Whitman (1946). "Lattices, equivalence relations, and subgroups". Bulletin of the American Mathematical Society. 52 (6): 507–522. doi:10.1090/s0002-9904-1946-08602-4.
  • Philip M. Whitman (Apr 1948). "Groups with a cyclic group as lattice-homomorph". Annals of Mathematics. 49 (2): 347–351. doi:10.2307/1969283.
  • Garrett Birkhoff; Philip M. Whitman (1949). "Representation of Jordan and Lie Algebras" (PDF). Transactions of the American Mathematical Society. 65: 116–136. doi:10.2307/1990517.
  • Philip M. Whitman (1961). "Status of word problems for lattices". In R. P. Dilworth (ed.). Lattice Theory. Proceedings of Symposia in Pure Mathematics. 2. Providence/RI: American Mathematical Society. pp. 17–21. ISBN 978-0-8218-1402-4.
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References
  1. Whitman (1946), p. 522
  2. Birkhoff, Whitman (1949), p. 136
  3. Haverford Bulletin p. 12 (= vol.35, p. (6))
  4. Haverford Bulletin p. 125 (= vol 35., p. 99)
  5. Haverford Bulletin p. 429 (= vol.36, p. 101)
  6. Haverford Bulletin p. 433
  7. Haverford Bulletin, p. 128, 432
  8. Haverford Bulletin p. 428 (= vol.36, p. 100)
  9. Birkhoff (1988), p. 50
  10. Birkhoff (1988), p. 24
  11. Record at Harvard library
  12. Haverford News, Vol.33, No.5, Tue 28 Oct 1941, p. 8 (7)
  13. Bulletin of the AMS, Jul 1947, p. 715
  14. Notices of the AMS Vol.42, No.12, Dec.1995, p. 1555
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